Constructive decomposition of a function of two variables as a sum of functions of one variable
| dc.creator | Trenklerová, Eva | |
| dc.date | 2007-08-30 | |
| dc.date.accessioned | 2026-07-07T08:26:42Z | |
| dc.date.available | 2026-07-07T08:26:42Z | |
| dc.description | Given a compact set $K$ in the plane, which does not contain any triple of points forming a vertical and a horizontal segment, and a map $f\in C(K)$, we give a construction of functions $g,h\in C(\mathbb R)$ such that $f(x,y)=g(x)+h(y)$ for all $(x,y)\in K$. This provides a constructive proof of a part of Sternfeld's theorem on basic embeddings in the plane. In our proof the set $K$ is approximated by a finite set of points. | |
| dc.identifier | https://arxiv.org/abs/0708.4187 | |
| dc.identifier | http://arxiv.org/abs/0708.4187 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137033 | |
| dc.subject | General Topology | |
| dc.subject | 26B40, 54C30 | |
| dc.title | Constructive decomposition of a function of two variables as a sum of functions of one variable | |
| dc.type | text |